Solve 69/33

$$\frac { 69 } { 33 }$$

Evaluate

$$\frac{23}{11}\approx 2.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 69

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)69}\\\end{array}$$

Since 6 is less than 33, use the next digit 9 from dividend 69 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)69}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 69

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)69}\\\end{array}$$

Find closest multiple of 33 to 69. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 69 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}02\phantom{4}\\33\overline{)69}\\\phantom{33)}\underline{\phantom{}66\phantom{}}\\\phantom{33)9}3\\\end{array}$$

Since 3 is less than 33, stop the division. The reminder is 3. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }3$$

Factor

$$\frac{23}{11} = 2\frac{1}{11} = 2.090909090909091$$